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lorasvet [3.4K]

2 years ago

5

Elijah is 2 years less than twice Michael's age. If Elijah is 18, how old is Michael?

1 answer:

jekas [21]2 years ago

6 0

Elijah is 34 years of age.

>Twice of Michael’s age is 36
>2 years less than twice of Michael’s age is 36-2.
>36-2=34

34 is your answer/

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White raven [17]

Answer:

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(b)a≠6

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Step-by-step explanation:

writing equation in agumented matrix form

$\begin{bmatrix}1 &1 & 0 &1 &b\\ 2 &3 & 1 &5 &6\\ 0& 0 & 1 &1 &4\\ 0& 2 & 2&a &1\end{bmatrix}$

now $R_{2} =R_{2}-2\times R_{1}$

$\begin{bmatrix}1 &1& 0 &1 &b\\ 0 &1& 1 &3 &6-2b\\ 0& 0 & 1 &1 &4\\ 0& 2 & 2&a &1\end{bmatrix}$

now $R_{4} =R_{4}-2\times R_{2}$

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a) now for inconsistent

rank of augamented matrix ≠ rank of matrix

for that a=6 and b≠ $\frac{11}{4}$

b) for consistent w/ a unique solution

rank of augamented matrix = rank of matrix

a≠6

c) consistent w/ infinitely-many sol'ns

rank of augamented matrix = rank of matrix < no. of variable

for that condition

a=6 and b=[tex]\frac{11}{4}

then rank become 3 which is less than variable which is 4.

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